Hi @TracyGetts! I don't know of a way, with either Classic Quizzes or New Quizzes, to set aside time within a quiz for reading without allowing students to begin selecting answers.
A potential workaround you might consider is creating a separate page in your course with the reading material, and then have the quiz questions exist in a separate quiz. If you wanted to restrict the timing on these items, you could edit the availability dates of the page and quiz so that students can only view the reading beginning at a certain time, and then make the quiz available beginning X minutes later, which I believe achieves a similar effect to what you're looking for. Do you think something like that might work?